Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 1, Pages 27–43
DOI: https://doi.org/10.4213/tmf9409 (Mi tmf9409) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Integrable seven-point discrete equations and second-order evolution chains

V. E. Adler

Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
Full-text PDF (565 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9409
Abstract: We consider differential–difference equations defining continuous symmetries for discrete equations on a triangular lattice. We show that a certain combination of continuous flows can be represented as a second-order scalar evolution chain. We illustrate the general construction with a set of examples including an analogue of the elliptic Yamilov chain.
Keywords: integrability, discrete equation, differential–difference equation, lattice, symmetry.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00289_a
This research is supported by the Russian Foundation for Basic Research (Grant No. 16-01-00289_a).
Received: 01.06.2017
Revised: 13.07.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 1, Pages 513–528
DOI: https://doi.org/10.1134/S0040577918040037
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik
MSC: 37K10; 37K35
Language: Russian
Citation: V. E. Adler, “Integrable seven-point discrete equations and second-order evolution chains”, TMF, 195:1 (2018), 27–43; Theoret. and Math. Phys., 195:1 (2018), 513–528
Citation in format AMSBIB
\Bibitem{Adl18}
\by V.~E.~Adler
\paper Integrable seven-point discrete equations and second-order evolution chains
\jour TMF
\yr 2018
\vol 195
\issue 1
\pages 27--43
\mathnet{http://mi.mathnet.ru/tmf9409}
\crossref{https://doi.org/10.4213/tmf9409}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3780084}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2018TMP...195..513A}
\elib{https://elibrary.ru/item.asp?id=32641429}
\transl
\jour Theoret. and Math. Phys.
\yr 2018
\vol 195
\issue 1
\pages 513--528
\crossref{https://doi.org/10.1134/S0040577918040037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000431565600003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85046534680}
Linking options:
  • https://www.mathnet.ru/eng/tmf9409
  • https://doi.org/10.4213/tmf9409
  • https://www.mathnet.ru/eng/tmf/v195/i1/p27
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:380
    Full-text PDF :95
    References:42
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024